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COMMON FIXED POINT RESULTS VIA F-CONTRACTION ON C<sup>*</sup> -ALGEBRA VALUED METRIC SPACES
Shivani Kukreti,Gopi Prasad,Ramesh Chandra Dimri The Kangwon-Kyungki Mathematical Society 2023 한국수학논문집 Vol.31 No.4
In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C<sup>*</sup>-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.
FIXED POINTS OF SET-VALUED MAPPINGS IN RELATIONAL METRIC SPACES
( Gopi Prasad ),( Ramesh Chandra Dimri ),( Shivani Kukreti ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.3
In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of R-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.